A fixed mass of gas is enclosed in a glass tube by a seal at one end and a mercury column. The mercury can move freely along the tube. The tube is turned slowly from the vertical in Fig. 3.1 to the horizontal in Fig. 3.2. As this happens, the gas volume increases while its temperature stays constant.
(a(i))[1]
Describe why rotating the tube alters the pressure of the gas at the sealed end.
(a(ii))[3]
Explain, using ideas about particles, why the pressure of the gas drops when its volume increases.
(b)[3]
In Fig. 3.1, the mercury column has length $0.30\,\text{m}$. Mercury’s density is $14\,000\,\text{kg m}^{-3}$. Atmospheric pressure is $1.0 \times 10^{5}\,\text{Pa}$. Calculate the pressure of the gas in the tube.
(c)[2]
A different gas sample changes pressure while temperature is kept constant. Fig. 3.3 includes a point, X, on a graph of pressure against volume for this sample. At X the gas pressure is $P_0$ and its volume is $V_0$. On Fig. 3.3, sketch the graph as the gas pressure falls from $2P_0$ to $\frac{1}{2}P_0$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Mercury exerts a changing or smaller pressure/force (vertically) OR mercury stops exerting pressure” …